For a certain particle

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For a certain particle, the tangent to its displacement–time curve makes an angle of

30^{\circ}

with the time axis at

t = 2\,\text{s}

and

60^{\circ}

t = 4\,\text{s}

. Which statement about the magnitudes of the instantaneous velocities

|v_{2}|

and

|v_{4}|

is correct? (a)

|v_{4}| = \sqrt{3}\,|v_{2}|

(b)

|v_{4}| < |v_{2}|

(c)

|v_{4}| > |v_{2}|

(d) The comparison cannot be made without numerical values of displacement